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Old 2014-06-04, 01:41   #12
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Quote:
Originally Posted by alpertron View Post
I found that there are some holes in the PRP database on http://www.mersenne.ca. For example, from the link: http://www.mersenne.ca/prp.php?show=...ponent=1911149 we can find a lot of exponents without PRP done, but this range cannot be reserved using the form http://www.mersenne.ca/prp.php?show=...ponent=1911149
The "no"s at your first link mean that a PRP test was run and determined it was composite, not that no test has been run. I don't see any gaps here.
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Old 2014-06-04, 01:45   #13
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There are thousands of exponents that have no "no" or "PRP" in that range, so the result is unknown from the point of view of the database.
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Old 2014-06-04, 02:13   #14
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Quote:
Originally Posted by alpertron View Post
There are thousands of exponents that have no "no" or "PRP" in that range, so the result is unknown from the point of view of the database.
Oh, I see what you mean. Mea culpa. Assuming all is working as intended, the only apparent cause, then, is that they're reserved to be PRP tested. It says the reservations last for 7 days, so they should soon be complete or available for reservation.
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Old 2014-06-13, 22:20   #15
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I've just found a complete factorization:

M576551 = 4612409 x 64758208321 x 242584327930759 x PRP-173528
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Old 2014-06-13, 22:45   #16
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Congrats! Please submit it to Henri Lifchitz's PRP database.
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Old 2014-06-14, 00:06   #17
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Originally Posted by paulunderwood View Post
Congrats! Please submit it to Henri Lifchitz's PRP database.
I've just did that, thanks.
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Old 2014-06-14, 08:31   #18
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Quote:
Originally Posted by alpertron View Post
I've just found a complete factorization:

M576551 = 4612409 x 64758208321 x 242584327930759 x PRP-173528
Just to be pedantic, if it's a PROBABLE prime factor then all we know for certain is that we don't actually know the answer

For a moment there got quite excited when I saw completely factored
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Old 2014-06-14, 08:51   #19
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Quote:
Originally Posted by Gordon View Post
Just to be pedantic, if it's a PROBABLE prime factor then all we know for certain is that we don't actually know the answer

For a moment there got quite excited when I saw completely factored
Well since we are being pedantic then it is easy to find completely factored Mersenne numbers much larger than any given here. For instance 257885161-1 is one such number.

And here is another: 22[sup]26[/sup]-1.

All numbers presented here meet the definition of a Mersenne number as specified in the current title "New mersenne number completely factorized".
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Old 2014-06-14, 09:00   #20
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Quote:
Originally Posted by retina View Post
Well since we are being pedantic then it is easy to find completely factored Mersenne numbers much larger than any given here. For instance 257885161-1 is one such number.

And here is another: 22[sup]26[/sup]-1.

All numbers presented here meet the definition of a Mersenne number as specified in the current title "New mersenne number completely factorized".
Then there's that pesky thing called a dictionary

probable  
1. likely to occur or prove true
2. having more evidence for than against, or evidence that inclines the mind to belief but leaves some room for doubt.
3. affording ground for belief.

So by definition, it is not completely factored.
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Old 2014-06-14, 09:28   #21
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Quote:
Originally Posted by retina View Post
22[sup]26[/sup]-1

This equals (2^2^25-1)(2^2^25+1).
Since when F25 is full factored?

Last fiddled with by LaurV on 2014-06-14 at 09:32
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Old 2014-06-14, 10:00   #22
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Quote:
Originally Posted by Gordon View Post
So by definition, it is not completely factored.
I never said it was. But I did give larger examples that are.
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